λ
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Atlas › Integer Profiles › Node 26,200,888

26,200,888

23 × 72 × 89 × 751
Abundant Even Composite

26,200,888 factors as 2^3 × 7^2 × 89 × 751. Its 48 positive divisors give a proper-divisor sum of 31,665,512, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 89 × 751
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 57,866,400
Proper Divisor Sum 31,665,512
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #26200883 ← → #26200901

Radix Representation

Decimal 26200888
Binary 1100011111100101100111000 (25 bits)
Octal 0o143745470
Hexadecimal 0x18FCB38

Divisor Catalog (48)

1 2 4 7 8 14 28 49 56 89 98 178 196 356 392 623 712 751 1,246 1,502 2,492 3,004 4,361 4,984 5,257 6,008 8,722 10,514 17,444 21,028 34,888 36,799 42,056 66,839 73,598 133,678 147,196 267,356 294,392 467,873 534,712 935,746 1,871,492 3,275,111 3,742,984 6,550,222 13,100,444 26,200,888

Collatz Trajectory (180 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

26,200,888 13,100,444 6,550,222 3,275,111 9,825,334 4,912,667 14,738,002 7,369,001 22,107,004 11,053,502 5,526,751 16,580,254 8,290,127 24,870,382 12,435,191 37,305,574 18,652,787 55,958,362 27,979,181 83,937,544 41,968,772 20,984,386 10,492,193 31,476,580 15,738,290 7,869,145 23,607,436 11,803,718 5,901,859 17,705,578 8,852,789 26,558,368 13,279,184 6,639,592 3,319,796 1,659,898 829,949 2,489,848 1,244,924 622,462 311,231 933,694 466,847 1,400,542 700,271 2,100,814 1,050,407 3,151,222 1,575,611 4,726,834 2,363,417 7,090,252 3,545,126 1,772,563 5,317,690 2,658,845 7,976,536 3,988,268 1,994,134 997,067

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